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Finding the Third Proportional to 262,378 and 401,169

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Solution

The third proportional to 262,378 and 401,169 is: 613,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,378 : 401,169 = 401,169 : x
  2. Step 2: Convert to fraction form
    262,378/401,169 = 401,169/x
  3. Step 3: Cross multiply
    262,378x = 401,169 × 401,169
  4. Step 4: Simplify right side
    262,378x = 160,936,566,561
  5. Step 5: Solve for x
    x = 160,936,566,561/262,378
  6. Step 6: Final answer
    x = 613,376.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.